Seth is using the figure shown below to prove the pythagorean theorem using triangle similarity:

in the given triangle def, angle d is 90° and segment dg is perpendicular to segment ef.

the figure shows triangle def with right angle at d and segment dg. point g is on side ef.

part a: there are three similar angles i'm using dgf and def

part b: explain how you know the triangles from part a are similar.

part c: if eg = 2 and ef = 8, find the length of segment ed. show your work.

answer: -

in the given triangle def, angle d is 90° and segment dg is perpendicular to segment ef.

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

bn,mn,n.vn.

step-by-step explanation: